Replace each letter by a positive rational number such that the following is true. Do it for rationals that can be written in the same denominator that is as small as possible.
O + N + E = 1
T + W + O = 2
T + H + R + E + E = 3
F + O + U + R = 4
F + I + V + E = 5
S + I + X = 6
Using the numbers 1-13,
dividing everything by 6, gives the desired result.
O + N + E = 6
2 + 3 + 1 = 6
T + W + O = 12
4 + 6 + 2 = 12
T + H + R + E + E = 18
4 + 7 + 5 + 1 + 1 = 18
F + O + U + R = 24
8 + 2 + 9 + 5 = 24
F + I + V + E = 30
8 + 11 + 10 + 1 = 30
S + I + X = 36
12 + 11 + 13 = 36
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